Results 31 to 40 of about 210,852 (219)
Extended Darlington Synthesis of Fractional Order Immittance Function With Two Element Orders
Actual circuits have fractional order characteristics essentially. With the widespread application of fractional order circuits and the great strides in the manufacturing of fractional order elements in recent years, passive synthesis of fractional order
Guishu Liang, Zheng Qi
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Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
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Electromagnetic Interpretation of Fractional-Order Elements
Fractional circuits have attracted extensive attention of scholars and researchers for their superior performance and potential applications. Recently, the fundamentals of the conventional circuit theory were extended to include the new generalized elements and fractional-order elements.
Guishu Liang, Jiawei Hao, Dongqing Shan
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Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia
The steady state response of a fractional order vibration system subject to harmonic excitation was studied by using the fractional derivative operator −∞Dtβ,${}_{-\infty} D_t^\beta,$where the order β is a real number satisfying 0 ≤ β ≤ 2.
Duan Jun-Sheng, Xu Yun-Yun
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In this paper, we consider a time-dependent diffusion problem with two-sided Riemann-Liouville fractional derivatives. By introducing a fractional-order flux as auxiliary variable, we establish the saddle-point variational formulation, based on which we ...
Qiong Yuan, Huanzhen Chen
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Fracmemristor chaotic oscillator with multistable and antimonotonicity properties
Memristor is a non-linear circuit element in which voltage-current relationship is determined by the previous values of the voltage and current, generally the history of the circuit.
Haikong Lu +5 more
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A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations [PDF]
In this work, we develop variational formulations of Petrov-Galerkin type for one-dimensional fractional boundary value problems involving either a Riemann-Liouville or Caputo derivative of order $\alpha\in(3/2, 2)$ in the leading term and both ...
Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
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We consider finite element approximations for a one dimensional second order stochastic differential equation of boundary value type driven by a fractional Brownian motion with Hurst index $H\le 1/2$.
Cao, Yanzhao, Hong, Jialin, Liu, Zhihui
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Fracmemristor: Fractional-Order Memristor
This paper mainly discusses an interesting conceptual framework: the fractional-order memristor (fracmemristor). It is a challenging theoretical problem to determine what the fracmemristor interpolating characteristics between the memristor and the ...
Yi-Fei Pu, Xiao Yuan
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Performance study of fractional order integrator using single-component fractional order element
A single-component fractional order element (FOE) is realised and its performance is compared with the conventional FOEs such as cross resistance-capacitance (RC) ladder network and domino ladder network in the analogue domain. The single-component FOE is a capacitive-type probe coated with a porous film of poly-methyl-methacrylate (PMMA) and is dipped
D. Mondal, K. Biswas
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